Banach空间中一类集值度量广义逆的连续线性选择  

The Linear Continuous Selection of a Class of Set-valued Metric Generalized Inverse in Banach Space

作　　者：王超[1] 曲绍平[2] 王玉文[1] 

机构地区：[1]哈尔滨师范大学数学学院曾远荣泛函分析研究中心 [2]黑龙江工程学院数学系

出　　处：《数学的实践与认识》2009年第24期221-224,共4页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10671049);黑龙江省教育厅科研项目(11544011)

摘　　要：对于Banach空间中余一维闭值域有界线性算子的集值度量广义逆,给出其具有连续线性选择的充分必要条件.结果是对M.Z.Nashed与G.F.Votruba提出的研究问题的部分回答.We discuss the problem of the set-valued metric generalized inverse of bounded linear operator with 1-codimensioned closed range in Banach space. And we prove the necessary and sufficient conditions of the set-valued metric generalized inverse with linear continuous selection. And our results partially solved the research problem raised by M. Z. Nashed and G. F. Votruba in .

关 键 词：BANACH空间 有界线性算子 度量广义逆 连续线性选择 

分 类 号：O177.2[理学—数学] O177.1[理学—基础数学]